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149628026960 = 24553337104717
BaseRepresentation
bin1000101101011010000…
…1101000000001010000
3112022012211112022210022
42023112201220001100
54422414233330320
6152423235523012
713544631146516
oct2132641500120
9468184468708
10149628026960
1158503136315
1224bba159468
13111574a1a79
1473562044b6
153d5b105325
hex22d6868050

149628026960 has 80 divisors (see below), whose sum is σ = 355504206096. Its totient is φ = 58547134464.

The previous prime is 149628026959. The next prime is 149628026981. The reversal of 149628026960 is 69620826941.

It can be written as a sum of positive squares in 8 ways, for example, as 15384929296 + 134243097664 = 124036^2 + 366392^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1376522 + ... + 1481238.

Almost surely, 2149628026960 is an apocalyptic number.

149628026960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149628026960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177752103048).

149628026960 is an abundant number, since it is smaller than the sum of its proper divisors (205876179136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149628026960 is a wasteful number, since it uses less digits than its factorization.

149628026960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105120 (or 105114 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 53.

The spelling of 149628026960 in words is "one hundred forty-nine billion, six hundred twenty-eight million, twenty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 337 424 530 674 848 1060 1348 1685 2120 2696 3370 4240 5392 6740 13480 17861 26960 35722 71444 89305 104717 142888 178610 209434 285776 357220 418868 523585 714440 837736 1047170 1428880 1675472 2094340 4188680 5550001 8377360 11100002 22200004 27750005 35289629 44400008 55500010 70579258 88800016 111000020 141158516 176448145 222000040 282317032 352896290 444000080 564634064 705792580 1411585160 1870350337 2823170320 3740700674 7481401348 9351751685 14962802696 18703503370 29925605392 37407006740 74814013480 149628026960